Question

A gas is filled in a cylinder, its temperature is increased by 20% on Kelvin scale and volume is reduced by 10%. How much percentage of the gas will leak out

• A. 30%
• B. 40%
• C. 15%
• D. 25%

Answer 1

The correct option is D

25%

$Let{m}_2\text{be the mass remaining in the cylinder}PV=\frac{m}{M}RT\Rightarrow \frac{V}{mt}=ConstantHence,\frac{V_1}{m_1{T}_1}=\frac{V_2}{m_2{T}_2}\frac{100}{m_1.100}=\frac{90}{m_2\times 1200}\Rightarrow \frac{m_2}{m_1}=\frac{9}{12}\Rightarrow \frac{m_1-m_2}{m_1}=\frac{1}{4}=25\%$